Theoretical research and finite element verification on the torsion of biaxially symmetric triangular flange Ⅰ-shaped beam combination based on plate beam theory
Based on the plate-beam theory,the total strain energy equation of a biaxially symmetric triangular flange I-beam is derived to obtain the buckling stiffness and free torsional stiffness of the beam,and then the total poten-tial energy equation is obtained from the external potential energy and total strain energy;The maximum torsional an-gle at the end of the cantilever beam is derived based on the energy variational model,differential equation model and boundary conditions.The calculated maximum torsion angle is compared with the results of the finite element model established by ANSYS.The results show that the theoretical value of the torsion angle of the cantilever beam under the action of end torque is close to the finite element value,with the minimum absolute value of 2.40％and the maximum absolute value of 4.44％,which can provide reference for engineering design.
beamcombined torsiontriangular sectionplate-beam theoryfinite element analysis
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NSTL
万方数据
维普
